Ornamental depictions of links with 12 crossings: Difference between revisions

From Knot Atlas
Jump to navigationJump to search
(ranking by number of loops)
(more ranking)
Line 1: Line 1:
Some decorative depictions of links with 12 crossings :
Some decorative depictions of links with 12 crossings :


With two loops
With two components

a) Components are loops
<gallery>
<gallery>
Image:Two-interlaced-hexagrams.png|Two interlaced open hexagrams
Image:Two-interlaced-hexagrams.png|Two interlaced open hexagrams
Image:Triquetra-double-interlaced.png|Two mutually-interlaced triquetras
Image:Ccross-two-link.png|Quasi-Celtic two-loop link
Image:Ccross-two-link.png|Quasi-Celtic two-loop link
Image:12crossing-twosymmetric-link.png|Two loops
Image:12crossing-twosymmetric-link.png|Two loops
Image:Link12-round.png|Two loops
Image:Link12-round.png|Two loops
Image:Two-trefoils-triangles-link.png|Two loops, two trefoils
Image:Three-L4a1.png|Two-loop link
Image:Three-L4a1.png|Two-loop link
Image:Four-loop-interlaced-circle.png|Four-fold looping interlaced with circle (two-loop link)
Image:Pleter50.png
Image:Pleter50.png|Equivalent to preceding
Image:12-crossing-link Tallara Lousame Galicia Spain.jpg|Sculpture of preceding
Image:12-crossing-link Tallara Lousame Galicia Spain.jpg|Sculpture of preceding
Image:Cross of Uppland Runestone-.jpg|Ca. 1000 A.D. runestone
Image:Trefoil-in-trefoil.png|Trefoil interlinked with smaller trefoil
Image:12crossings-pseudo-Celtic-link.png|One crossing of [[K13a1345]] eliminated, converting from knot to link...
Image:12crossings-pseudo-Celtic-link.png|One crossing of [[K13a1345]] eliminated, converting from knot to link...
</gallery>
</gallery>

With three loops
b) One component is knoted
<gallery>
Image:Triquetra-double-interlaced.png|Two mutually-interlaced triquetras
Image:Trefoil-in-trefoil.png|Trefoil interlinked with smaller trefoil
Image:Two-trefoils-triangles-link.png|Two interlinked trefoils
Image:Two-trefoils-granny-12crossings.png|Two trefoils on one loop linked with another loop
</gallery>
With three components
<gallery>
<gallery>
Image:Celtic-knot-square-3loops.png|3-loop link in the form of a quasi-Celtic knot
Image:Celtic-knot-square-3loops.png|3-loop link in the form of a quasi-Celtic knot
Image:Cross of Uppland Runestone-.jpg|Ca. 1000 A.D. runestone, equivalent to preceeding
Image:12-crossings-squares-16.png|Equivalent link in square form
Image:Three-loop-link-12-crossings-alternate.png|(alternate version)
Image:Brunnian-3-not-Borromean.gif|Three-component [[Brunnian link]]
Image:Brunnian-3-not-Borromean.gif|Three-component [[Brunnian link]]
Image:Brunnian-link-12crossings-nonBorromean-quasi-Arabesque.png|More ornate Brunnian link depiction
Image:Brunnian-link-12crossings-nonBorromean-quasi-Arabesque.png|More ornate Brunnian link depiction
Image:Three-L4a1-config.png|Three-loop link with three [[L4a1]] configurations
Image:Three-L4a1-config.png|Three-loop link with three [[L4a1]] configurations
Image:12-crossings-squares-16.png|3-loop link in square form
Image:Three-loop-link-12-crossings-alternate.png|(alternate version)
Image:12crossings-pseudo-Borromean.png|Three-loop link
Image:12crossings-pseudo-Borromean.png|Three-loop link
Image:Triang-two-circ.png|Triangle and two circles
Image:Triang-two-circ.png|Triangle and two circles
Image:12crossings-threesymmetric-link.png|Three loops symmetric
Image:12crossings-threesymmetric-link.png|Three loops symmetric
Image:12crossings-decorative-threefold-incircle-link.png|Three loops symmetric
Image:12crossings-decorative-threefold-incircle-link.png|Three loops symmetric
Image:Two-trefoils-loop-12crossings.png|Three loops, two trefoils
Image:Two-trefoils-loop-12crossings.png|Two trefoils and one loop
Image:12crossing-link-inrectangle.png|Two interlinked trefoils inside rectangle
Image:12crossing-link-inrectangle.png|Two interlinked trefoils inside rectangle
</gallery>
</gallery>
With four loops
With four components


<gallery>
<gallery>
Line 38: Line 46:
Image:fourcircles.jpg|Variant with circles
Image:fourcircles.jpg|Variant with circles
Image:noeudsCarres-2.png|Variant with rectangles as an impossible object
Image:noeudsCarres-2.png|Variant with rectangles as an impossible object
Image:Four-loop-interlaced-circle.png|Four-fold looping interlaced with circle (two-loop link)
Image:Borromean-plus-triangle.png|Four loops (Borromean + triangle)
Image:Borromean-plus-triangle.png|Four loops (Borromean + triangle)
Image:Two-trefoils-granny-12crossings.png|Two trefoils on one loop linked with another loop
</gallery>
</gallery>
With six loops
With six components
<gallery>
<gallery>
Image:Six-rings.png|Six rings
Image:Six-rings.png|Six rings

Revision as of 11:46, 31 July 2015

Some decorative depictions of links with 12 crossings :

With two components

a) Components are loops

b) One component is knoted

With three components

With four components

With six components

For ornamental depictions of knots with 12 crossings, see K12a477, K12a503, K12a541, K12a561, K12a975, K12a991, K12a1019, K12a1210, K12n242, and (non-prime) Image:Trefoil-of-trefoils.png, Image:Celtic-knot-insquare-green-transparentbg.png, Image:Three-figure8-knot triang1.png, and Image:Three-figure8-knot triang2.png.